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Finding the Fourth Proportional to 3,573.68, 5,358 and 1,380.56

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Solution

The fourth proportional to 3,573.68, 5,358 and 1,380.56 is: 2,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.68 : 5,358 = 1,380.56 : x
  2. Step 2: Convert to fraction form
    3,573.68/5,358 = 1,380.56/x
  3. Step 3: Cross multiply
    3,573.68x = 5,358 × 1,380.56
  4. Step 4: Simplify right side
    3,573.68x = 7,397,040.48
  5. Step 5: Solve for x
    x = 7,397,040.48/3,573.68
  6. Step 6: Final answer
    x = 2,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.